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Finding the Third Proportional to 291,676.50 and 628,875

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Solution

The third proportional to 291,676.50 and 628,875 is: 1,355,898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,676.50 : 628,875 = 628,875 : x
  2. Step 2: Convert to fraction form
    291,676.50/628,875 = 628,875/x
  3. Step 3: Cross multiply
    291,676.50x = 628,875 × 628,875
  4. Step 4: Simplify right side
    291,676.50x = 395,483,765,625
  5. Step 5: Solve for x
    x = 395,483,765,625/291,676.50
  6. Step 6: Final answer
    x = 1,355,898.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.